How to Find GCF of 1356/277, 6136/9951?

GCF of 1356/277, 6136/9951

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 1356/277, 6136/9951 i.e 4/2756427 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1356/277, 6136/9951.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 1356/277,6136/9951?

Given fractions are 1356/277,6136/9951

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 1356/277,6136/9951, numerators are 1356,6136

Denominators are 277,9951

The GCF of 1356,6136 is 4 .

LCM of 277,9951 is 2756427.

The greatest common factor of 1356/277,6136/9951 = [GCF of 1356,6136]/[LCM of 277,9951]= 4/2756427

Therefore, the GCF of 1356/277,6136/9951 is 4/2756427.

Greatest Common Factor of 1356,6136

To find the highest common factor of 1356,6136, we have to find the factors of both numbers and list the highest common factor.

The factors of 1356 are 1, 2, 3, 4, 6, 12, 113, 226, 339, 452, 678, 1356

The factors of 6136 are 1, 2, 4, 8, 13, 26, 52, 59, 104, 118, 236, 472, 767, 1534, 3068, 6136

The HCF of 1356,6136 is 4.

Lets's calculate GCF of 1356,6136

Greatest Common Factor (GCF) of 1356,6136 By Common Division

2	1356, 6136
2	678, 3068
	339, 1534

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 1356,6136 By Matching Biggest Common Factor Method

Now, list down the factors of 1356

1,2,3,4,6,12,113,226,339,452,678,1356

Now, list down the factors of 6136

1,2,4,8,13,26,52,59,104,118,236,472,767,1534,3068,6136

Greatest Common Factor

We found the factors 1356,6136 . The biggest common factor number is the GCF number.
So the greatest common factor 1356,6136 is 4.

Lets's calculate LCM of 277,9951

Lowest Common Multiple of 277,9951 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2756427

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2756427

Therefore, the GCF of Fractions 1356/277,6136/9951 is 4/2756427

Least Common Multiple of 277,9951 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 277,9951 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(277,9951) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(277,9951) x common factors =1 x 1 = 1

LCM(277,9951) = ( 277 × 9951 ) / 1

LCM(277,9951) = 2756427 / 1

LCM(277,9951) = 2756427

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FAQs on GCF of Fractions of 1356/277, 6136/9951

1. What is the HCF of 1356,6136?

The HCF of 1356,6136 is 4

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 1356/277, 6136/9951?

Answer: GCF of Numerators as per given numbers 1356/277, 6136/9951 is

GCF of Numerators i.e. for 1356,6136 is 4

LCM of denominators i.e. for 277,9951 is 2756427.

Thus, GCF of Fractions is 4/2756427.Finally, GCF of Fractions for 1356/277, 6136/9951 is 4/2756427.